Answer
$(D) 8.2h$
Work Step by Step
We can find the time period as
$T=\frac{2\pi}{\sqrt{GM_C}}r^{\frac{3}{2}}$
We plug in the known values to obtain:
$T=\frac{2\pi}{\sqrt{(6.67\times 10^{-11})(1.1\times 10^{14})}}(5400)^{\frac{3}{2}}$
$T=2.9\times 10^4s=8.2h$
